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1

GATE2020-EE-20
A double pulse measurement for an inductively loaded circuit controlled by the $\text{IGBT}$ switch is carried out to evaluate the reverse recovery characteristics of the diode, $\text{D}$, represented approximately as a piecewise linear plot of current vs time at diode turn ... entering $1, 2, 3, or\:4$) at which the $\text{IGBT}$ experiences the highest current stress is _________.

asked Feb 28 in new by jothee (1.4k points)

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2

GATE2019 EE: 26
Consider a $2\times 2$ matrix $M=\begin{bmatrix} v_1 & v_2 \end{bmatrix}$, where $v_1$ and $v_2$ are the column vectors. Suppose $M^{-1}=\begin{bmatrix} u_1^T \\ u_2^T \end{bmatrix}$, where $u_1^T$ and $u_2^T$ are the row vecotrs. ... $2$ is false Statement $2$ is true and Statement $1$ is false Both the Statements are true Both the statements are false

asked Feb 13, 2019 in new by Arjun (5.4k points)

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3

GATE2019 EE: 33
The enhancement type MOSFET in the circuit below operates according to the square law. $\mu _nC_{ox} =100 \: \mu A /V^2$, the threshold voltage $(V_T)$ is $500$ mV. Ignore channel length modulation. The output voltage $V_{\text{out}}$ is $100$ mV $500$ mV $600$ mV $2$ V

asked Feb 13, 2019 in new by Arjun (5.4k points)

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4

GATE2017-2-1
An urn contains $5$ red balls and $5$ black balls. In the first draw, one ball is picked at random and discarded without noticing its colour. The probability to get a Red ball in the second draw is $\frac{1}{2} \\$ $\frac{4}{9} \\$ $\frac{5}{9} \\$ $\frac{6}{9} $

asked Feb 27, 2017 in new by Arjun (5.4k points)

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5

GATE2017-2-14
A $3$-phase, $4$-pole, $400$V, $50$Hz squirrel-cage induction motor is operating at a slip of $0.02$. The speed of the rotor flux in mechanical rad/sec, sensed by a stationary observer, is closest to $1500$ $1470$ $157$ $154$

asked Feb 27, 2017 in new by Arjun (5.4k points)

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6

GATE2017-2-40
A person decides to toss a fair coin repeatedly until he gets a head. He will make at most $3$ tosses. Let the random variable $Y$ denote the number of heads. The value of $\text{var} \{Y\}$, where $\text{var} \{ \cdot \}$ denotes the variance, equals $\frac{7}{8} \\$ $\frac{49}{64} \\$ $\frac{7}{64} \\$ $\frac{105}{64}$

asked Feb 27, 2017 in new by Arjun (5.4k points)

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7

GATE2015-2-52
The following discrete-time equations result from the numerical integration of the differential equations of an un-damped simple harmonic oscillator with state variables $x$ and $y$. The integration time step is $h$. $\frac{x_{k+1}-x_{k}}{h}=y_{k}$ ... stable for $0 < h <\frac{1}{2\pi}$ The system is stable for $\frac{1}{2\pi}<h<\frac{1}{\pi}$

asked Feb 12, 2017 in new by makhdoom ghaya (9.3k points)

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8

GATE2018-14
In the logic circuit shown in the figure, $Y$ is given by $Y=ABCD$ $Y=(A+B)(C+D)$ $Y=A+B+C+D$ $Y=AB+CD$

asked Feb 19, 2018 in new by Arjun (5.4k points)

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9

GATE2017-2-55
A thin soap bubble of radius $R=1$ cm, and thickness $a=3.3 \mu m (a << R)$, is at a potential of $1$ V with respect to a reference point at infinity. The bubble bursts and becomes a single spherical drop of a soap (assuming ... , of the resulting single spherical drop with respect to the same reference point at infinity is _________. (Give the answer up to two decimal places.)

asked Feb 27, 2017 in new by Arjun (5.4k points)

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10

GATE2015-1-50
A $200/400$ V, $50$ Hz, two-winding transformer is rated at $20$ kVA. Its windings are connected as an auto-transformer of rating $200/600$ V. A resistive load of $12 \Omega$ is connected to the high voltage ($600$ V) side of the auto-transformer. The value of equivalent load resistance (in Ohm) as seen from low voltage side is _________.

asked Feb 12, 2017 in new by makhdoom ghaya (9.3k points)

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11

GATE2019 EE: 5
The mean-square of a zero-mean random process is $\frac{kT}{c},$ where $k$ is Boltzmann’s constant, $T$ is the absolute temperature, and $C$ is a capacitance. The standard deviation of the random process is $\frac{kT}{c} \\ $ $\sqrt{\frac{kT}{c}} \\ $ $\frac{c}{kT} \\ $ $\frac{\sqrt{kT}}{c}$

asked Feb 13, 2019 in new by Arjun (5.4k points)

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12

GATE2017-2-49
For the synchronous sequential circuit shown below, the output $Z$ is zero for the initial conditions $Q_{A}, Q_{B}, Q_{C}= Q'_{A}, Q'_{B}, Q'_{C}=100$ The minimum number of clock cycles after which the output $Z$ would again become zero is _________.

asked Feb 27, 2017 in new by Arjun (5.4k points)

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13

GATE2017-2-24
The nominal- $\pi$ circuit of a transmission line is shown in the figure. Impedance $Z=100 \angle 80^{\circ} \Omega$ and reactance $X=3300 \Omega$. The magnitude of the characteristic impedance of the transmission line, in $\Omega$, is __________. (Give the answer up to one decimal place.)

asked Feb 27, 2017 in new by Arjun (5.4k points)

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14

GATE2019 EE: 20
A co-axial Cylindrical capacitor is shown in the Figure(i) has dielectric with relative permittivity $\varepsilon_{r1} = 2$. When one – fourth portion of the dielectric is replaced with another dielectric of relative permittivity $\varepsilon_{r2}$, as shown in the Figure(ii), the capacitance is doubled. The value of $\varepsilon_{r2}$ is _________.

asked Feb 13, 2019 in new by Arjun (5.4k points)

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15

GATE2017-1-4
A solid iron cylinder is placed in a region containing a uniform magnetic field such that the cylinder axis is parallel to the magnetic field direction. The magnetic field lines inside the cylinder will Bend closer to the cylinder axis Bend farther away from the axis Remain uniform as before Cease to exist inside the cylinder

asked Feb 27, 2017 in new by Arjun (5.4k points)

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16

GATE2018-4
Four power semiconductor devices are shown in the figure along with their relevant terminals. The device(s) that can carry dc current continuously in the direction shown when gated appropriately is (are) Triac only Triac and MOSFET Triac and GTO Thyristor and Triac

asked Feb 19, 2018 in new by Arjun (5.4k points)

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17

GATE2018-51
A $3$-phase $900$ kVA, $3 \: kV/ \sqrt{3} kV$ ( $\Delta/$), $50$ Hz transformer has primary (high voltage side) resistance per phase of $0.3 \: \Omega$ and secondary (low voltage side) resistance per phase of $0.02 \: \Omega$. Iron loss of the transformer is $10 \: kW$. The full load $\%$ efficiency of the transformer operated at unity power factor is _______ (up to $2$ decimal places)

asked Feb 19, 2018 in new by Arjun (5.4k points)

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18

GATE2017-1-49
A separately excited $DC$ generator supplies $150$A to a $145$V DC grid. The generator is running at $800$RPM. The armature resistance of the generator is $0.1\Omega$. If the speed of the generator is increased to $1000$ RPM, the current in amperes supplied by the generator to the $DC$ grid is ______. (Give the answer up to one decimal place.)

asked Feb 27, 2017 in new by Arjun (5.4k points)

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19

GATE2019 EE: 39
If $\textbf{A}= 2x \textbf{i} + 3y \textbf{j} +4z \textbf{k}$ and $u=x^2+y^2+z^2$, then $\text{div} \big(u \textbf{A} \big)$ at $(1,1,1)$ is _______

asked Feb 13, 2019 in new by Arjun (5.4k points)

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20

GATE2020-EE-53
The temperature of the coolant oil bath for a transformer is monitored using the circuit shown. It contains a thermistor with a temperature-dependent resistance, $R_{thermistor}=2\left ( 1+\alpha\:T \right )k\Omega$, where $\text{T}$ is the temperature in $^{\circ}C$. ... error in the output signal (in $\text{V}$ , rounded off to $2$ decimal places) at $150^{\circ}C$ is ____________.

asked Feb 28 in new by jothee (1.4k points)

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21

GATE2018-18
Let $f$ be a real-valued function of a real variable defined as $f(x)=x – [x]$, where $[x]$ denotes the largest integer less than or equal to $x$. The value of $\int_{0.25}^{1.25} f(x) dx$ is _______ (up to $2$ decimal places).

asked Feb 19, 2018 in new by Arjun (5.4k points)

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22

GATE2019 EE: 52
In a $132$ kV system, the series inductance up to the point of circuit breaker location is $50$ mH. The shunt capacitance at the circuit breaker terminal is $0.05 \: \mu F$. The critical value of resistance in ohms required to be connected across the circuit breaker contacts which will give no transient oscillation is ______

asked Feb 13, 2019 in new by Arjun (5.4k points)

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23

GATE2018-52
A $200$ V DC series motor, when operating from rated voltage while driving a certain load, draws $10$ A current and runs at $1000$ r.p.m. The total series resistance is $1 \: \Omega$. The magnetic circuit is assumed to be linear. At the same supply voltage, the load torque is increased by $44 \%$. The speed of the motor in r.p.m (rounded to the nearest integer) is _____________

asked Feb 19, 2018 in new by Arjun (5.4k points)

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24

GATE2012-8
If $x[n]=(1/3)^{\mid n \mid} – (1/2)^n \: u[n]$, then the region of convergence (ROC) of its $Z$-transform in the $Z$-plane will be $\frac{1}{3} < \mid z \mid < 3$ $\frac{1}{3} < \mid z \mid < \frac{1}{2}$ $\frac{1}{2} < \mid z \mid < 3$ $\frac{1}{3} < \mid z \mid $

asked Mar 24, 2018 in new by Andrijana3306 (1.4k points)

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25

GATE2018-50
The figure shows two buck converters connected in parallel. The common input dc voltage for the converters has a value of $100 \: V$. The converters have inductors of identical value. The load resistance is $1 \: \Omega$. The capacitor voltage has negligible ripple. Both ... average value of $i_{s1}$, the current of switch $S1$ (in Ampere), is ____________ (up to $2$ decimal places).

asked Feb 19, 2018 in new by Arjun (5.4k points)

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26

GATE2017-2-23
The mean square value of the given periodic waveform $f(t)$ is __________.

asked Feb 27, 2017 in new by Arjun (5.4k points)

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27

GATE2012-46
The locked rotor current in a $3$-phase, star connected $15$ kW, $4$-pole, $230$ V, $50$ Hz induction motor at rated conditions is $50$ A. Neglecting losses and magnetizing current, the approximate locked rotor line current drawn when the motor is connected to a $236$ V, $57$ Hz supply is $58.5$ A $45.0$ A $42.7$ A $55.6$ A

asked Mar 24, 2018 in new by Andrijana3306 (1.4k points)

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28

GATE2017-2-53
Two generating units rated $300$MW and $400$MW have governor speed regulation of $6 \%$ and $4 \%$ respectively from no load to full load. Both the generating units are operating in parallel to share a load of $600$MW. Assuming free governor action, the load shared by the larger unit is _________ MW.

asked Feb 27, 2017 in new by Arjun (5.4k points)

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29

GATE2018-54
The equivalent circuit of a single phase induction motor is shown in the figure, where the parameters are $R_1 =R_2=X_{l1}=X_{l2} = 12 \Omega$, $X_M=240 \: \Omega$ and $S$ is the slip. At no-load, the motor speed can be approximated to the synchronous speed. The no-load lagging power factor of the motor is __________ (up to $3$ decimal places).

asked Feb 19, 2018 in new by Arjun (5.4k points)

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30

GATE2017-1-51
Consider a causal and stable $LTI$ system with rational transfer function $H(z)$, whose corresponding impulse response begins at $n=0$. Furthermore, $H(1)=\frac{5}{4}$. The poles of $H(z)$ are $p_{k}=\frac{1}{\sqrt{2}} \text{exp}(j\frac{(2k-1)\pi}{4})$ ... all at $z=0$. Let $g[n]=j^{n}h[n]$. The value of $g[8]$ equals __________. (Give the answer up to three decimal places.)

asked Feb 27, 2017 in new by Arjun (5.4k points)

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31

GATE2019 EE: 4
Which one of the following functions is analytic in the region $\mid z \mid \leq 1$ ? $\frac{z^{2}-1}{z} \\ $ $\frac{z^{2}-1}{z+2} \\ $ $\frac{z^{2}-1}{z-0.5} \\ $ $\frac{z^{2}-1}{z+j0.5} $

asked Feb 13, 2019 in new by Arjun (5.4k points)

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32

GATE2019 EE: 8
A $5kVA, 50V/100V,$ single-phase transformer has a secondary terminal voltage of $95V$ when loaded. The regulation of the transformer is $4.5\%$ $9\%$ $5\%$ $1\%$

asked Feb 13, 2019 in new by Arjun (5.4k points)

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33

GATE2019 EE: 19
The current $I$ is flowing in the circuit shown below in amperes (round off to one decimal place) is _________

asked Feb 13, 2019 in new by Arjun (5.4k points)

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34

GATE2018-41
In the circuit shown in the figure, the bipolar junction transistor (BJT) has a current gain $\beta = 100$. The base-emitter voltage drop is a constant, $V_{BE}=0.7 \: V$. The value of the Thevenin equivalent resistance $R_{Th}$ (in $\Omega$) as shown in the figure is _________ (up to $2$ decimal places)

asked Feb 19, 2018 in new by Arjun (5.4k points)

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35

GATE2019 EE: 2
$M$ is $2 \times 2$ matrix with eigenvalues $4$ and $9.$ The eigenvalues of $M^{2}$ are $4$ and $9$ $2$ and $3$ $-2$ and $-3$ $16$ and $81$

asked Feb 13, 2019 in new by Arjun (5.4k points)

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36

GATE2018-42
As shown in the figure, $C$ is the arc from the point $(3,0)$ to the point $(0,3)$ on the circle $x^2+y^2=9$. The value of the integral $\int_C (y^2+2yx) dx +(2xy+x^2)dy$ is ________ (up to $2$ decimal places).

asked Feb 19, 2018 in new by Arjun (5.4k points)

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37

GATE2019 EE: 10
The parameter of an equivalent circuit of a three-phase induction motor affected by reducing the rms value of the supply voltage at the rated frequency is rotor resistance rotor leakage reactance magnetizing reactance stator resistance

asked Feb 13, 2019 in new by Arjun (5.4k points)

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38

GATE2017-1-44
The magnitude of magnetic flux density (B) in micro Teslas $(\mu T)$, at the centre of a loop of wire wound as a regular hexagon of side length $1 m$ carrying a current $(I=1 A)$, and placed in vacuum as shown in the figure is _________. (Give the answer up to two decimal places.)

asked Feb 27, 2017 in new by Arjun (5.4k points)

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39

GATE2020-EE-25
The cross-section of a metal-oxide-semiconductor structure is shown schematically. Starting from an uncharged condition, a bias of $\text{+3 V}$ is applied to the gate contact with respect to the body contact. The charge inside the silicon dioxide layer is ... of bias, expressed as a multiple of $\text{Q}$ (absolute value in Coulombs, rounded off to the nearest integer) is___________

asked Feb 28 in new by jothee (1.4k points)

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40

GATE2018-44
Let $A= \begin{bmatrix} 1 & 0 & -1 \\ -1 & 2 & 0 \\ 0 & 0 & -2 \end{bmatrix}$ and $B=A^3-A^2-4A+5I$, where $I$ is the $3 \times 3$ identify matrix. The determinant of $B$ is _______ (up to $1$ decimal place).

asked Feb 19, 2018 in new by Arjun (5.4k points)